Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 876, 600, 83, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 600, 83, 846 is 1
GCD(876, 600, 83, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 600, 83, 846 is 1
GCD(876, 600, 83, 846) = 1
Given Input numbers are 876, 600, 83, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 876, 600, 83, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 600, 83, 846 is 1.
Therefore, GCD of numbers 876, 600, 83, 846 is 1
Given Input Data is 876, 600, 83, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 83 is 83
Prime Factorization of 846 is 2 x 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(876, 600) = 43800
GCD(876, 600) = ( 876 x 600 ) / 43800
GCD(876, 600) = 525600 / 43800
GCD(876, 600) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 83) = 996
GCD(12, 83) = ( 12 x 83 ) / 996
GCD(12, 83) = 996 / 996
GCD(12, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 876, 600, 83, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 600, 83, 846?
GCD of 876, 600, 83, 846 is 1
2. Where do I get the detailed procedure to find GCD of 876, 600, 83, 846?
You can find a detailed procedure to find GCD of 876, 600, 83, 846 on our page.
3. How to find GCD of 876, 600, 83, 846 on a calculator?
You can find the GCD of 876, 600, 83, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.